Latitude/longitude coordinates between coordinates (38.627952,-90.1843880) and (38.62258,-90.186339).

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Today we use two equations to represent the mathematics of the Gateway Arch: y = 693.8597 - 68.7672 COSH(0.0100333 x) feet for x between or equal to -299.2239 and 299.2239 for the general arch shape and Q = 125.1406 COSH(0.0100333 x) square feet area of a cross section, that is the local shape. A short paper, "OWNER'S MANUAL FOR THE GATEWAY ARCH, SAINT LOUIS, MO." uses a graphing calculator approach to learning the mathematics of the Arch with the above equations.

The following presentation of the mathematics of the Arch is based on the history of the construction. Please enjoy the history approach now.

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